All categories

4 years ago

Solve for x 5х – 12 = 3х + 10

Mathematics

1 answer:

Mkey [24]4 years ago

6 0

Answer:

x = 11

Step-by-step explanation:

5х – 12 = 3х + 10

Subtract 3x from both sides, since x can only be on one side

5х – 12 = 3х + 10

- 3x - 3x

------------------------

2x – 12 = 10

Add 12 to both sides, because the 12 is negative and we need the x to be alone

2x – 12 = 10

+ 12 + 12

------------------------

2x = 22

Divide both sides by 2, so we get x all by itself

2x = 22

-- --

2 2

-----------

x = 11

You might be interested in

Sam found $1.8 After finding the money in his pocket, Sekou finds an additional $0.75 in his backpack. Then he decides to buy a

Kitty [74]

Answer:

Hey there!

Sam's Money=1.80 dollars + 0.75 dollars.

1.80+0.75-1.50=1.05

1.05/0.13= 8.08.

He will be able to buy 8 pieces of gum.

Let me know if this helps :)

7 0

3 years ago

Find the sum of all multiples of 4 between 25 and 100

Mademuasel [1]

Answer:

Sum of all multiples of 4 between 25 and 100 is 1116.

Step-by-step explanation:

Multiples of 4 between 25 and 100 = 28,32,36,40..............,96

let's check the series whether it is an arithmetic progression

a1 = 28 , a2 = 32 , a3 = 36 , a4 = 40

Common difference (d)=a2-a1=32-28 = 4

=a3-a2=36-32 = 4

=a4-a3=40-36 = 4

Common difference exists then the series of numbers is an Arithmetic progression.

To find number of terms :

a(a1) = 28 , d = 4 , l( last term ) = 96

l = a + (n-1)d

96 = 28 + (n-1)4

96 - 28 = (n-1)4

68 = (n-1)4

68/4 = (n-1)

17 = n - 1

17 + 1 = n

18 = n

Sum of all terms:

a = 28 , d = 4 , n = 18 , l = 96

Sn = n/2 ( a + l )

S18 = 18 / 2 (28 + 96)

S18 = 9 (124)

S18 = 1116

Therefore,Sum of all multiples of 4 between 25 and 100 is 1116.

NOTE:

Here 100 is also a multiple of 4 but question is asked between 25 and 100 so 100 is not considered in multiples.

7 0

3 years ago

It is believed that the minimum number of calories required for the average female to avoid starvation is 1200 calories. The bra

aleksandr82 [10.1K]

144 calories are required by the brain. What you need to do is: multiply .12 by 1200. That will get you 144.

Please give brainliest and have a great day!

8 0

3 years ago

Which statement is true about the factorization of 30x2+40xy+51y2

icang [17]

The complete question is
Which statement is true about the factorization of 30x² + 40xy + 51y²?

A. The factorization of the polynomial is 10(3x2 + 4xy + 5y2).
B. The polynomial can be rewritten as the product of a trinomial and xy.
C. The greatest common factor of the polynomial is 51x2y2.
D. The polynomial is prime, and the greatest common factor of the terms is 1.

we know that

case A) is not right because 10 is not a common factor of the three terms.
case B) is not right because the original polynomial is already a trinomial
case C) is not right because the terms do not contain 51x^2y^2
case D) is right
because
Factors of 30 are-----> 1,2,3,5,6,10,15,30
Factors of 40 are-----> 1,2,4,5,8,10,20,40
Factors of 51 are-----> 1,51
so
The "Greatest Common Factor" is the largest of the common factors
the GFC is 1

therefore

the answer is the option
D. The polynomial is prime, and the greatest common factor of the terms is 1

8 0

4 years ago

Half of my weight is equal 3/4 of my brother's weight. If my brother weighs 64kg; what is my weight

Lady bird [3.3K]

Answer:

96kg

Step-by-step explanation:

3/4 of 64 is 48

2 × 48 = 96kg

3 0

3 years ago